Finding the Third Proportional to 193,598 and 415,208.50

Step by Step Solution

1. Step 1: Write the proportion equation
   193,598 : 415,208.50 = 415,208.50 : x
2. Step 2: Convert to fraction form
   193,598/415,208.50 = 415,208.50/x
3. Step 3: Cross multiply
   193,598x = 415,208.50 × 415,208.50
4. Step 4: Simplify right side
   193,598x = 172,398,098,472.25
5. Step 5: Solve for x
   x = 172,398,098,472.25/193,598
6. Step 6: Final answer
   x = 890,495.25